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Finding the Fourth Proportional to 45.42, 67.76 and 44.72

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Solution

The fourth proportional to 45.42, 67.76 and 44.72 is: 66.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.42 : 67.76 = 44.72 : x
  2. Step 2: Convert to fraction form
    45.42/67.76 = 44.72/x
  3. Step 3: Cross multiply
    45.42x = 67.76 × 44.72
  4. Step 4: Simplify right side
    45.42x = 3,029.66
  5. Step 5: Solve for x
    x = 3,029.66/45.42
  6. Step 6: Final answer
    x = 66.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.